ME HWI Solution
2020 Fall
I P1 2
a
Ey Eo cos Cut
Since this is
lossless
F f
Ho cos wt
kx
n
d
X
34
E Egg
At
a
of
phase
where Ho
Ee 0.0211 Alm
to have
5
Fyi
1.88 108 Is
7.8Com
given moment
ka
Cot
I
medium is
Ctx
b Up Wp
C
the
since
Note the positive sign in front of
É Xt
ELLE R
É LA
plane wave
a
Y ME YG Moreover
É and I have the same
E H
i
Rx
kX
a
wt ka
181
0.05
4.02Chad
2611.10
re
I
nÉxJo
A
Fates
Thesurfuefument
E
propagating in
and
Eioxett
E
É
the B.C
Also
at 7
Ex
Eto
1
É
and
0
Ex
0
directions
et't
Effy
rI
tyjeTPz
I
Ef
set
are
Hey Hey
Ezo Eo
Eo
E
If
since Ms
Hey Hey
4
waves
Hi
E.IE
The direction of
plane
Jo
to
satisfy
Jo
0
LI É
Tt
To
t
Jo
E
Ige
III
É
ett ri
et
te
Ii get't
5 é't
IEEE
3.02.57
1
1
We have to know the field distribution
solve the KLGC of this waveguide
From Ch 3.2
the fields distribute as
É
wave
mode
E
propagating
Note
E JSW
,
F
I
this
E
EI
GE
for
the
direction in the
is the TEM mode
in
W
to
fundamental
GET EY
C
G
R
I
MÉd
0
Assuming
I
a
YIEEI f.IN
Considering
Elm
T.no
lossless
Hlm
median
Ews Colm
both top and bottom
plate
1
In solving R
we've assumed
Rs E
1.125
Er
4 P2 83
TI
I
SWR
P
2
Zin
5
j
ÉÉ
I
0.37
Ze 30 go
0.466 1450
2.91
Theme
Zo
0.46
203
0.01J
5.2J
P2 13
Zsc
8
j Zo tan Be
ZFZsc.IT
Zoe
JZocoeBl
GCP 2.21
a
1
e
de
0
I
Cb l
E It
c
af
d
left
0.027
MCP2 31
0MÉFÉ
t
Ej
10
8
Bounce diagram looks
Te
like the following
tr
1
w
I
3
Pg
If
I
At the midpoint Cz
E
t
At
t
vcz
fj
4
8
is